This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A197414 #12 Apr 10 2021 13:19:18
%S A197414 1,3,3,9,6,7,6,6,2,2,8,1,7,2,7,1,4,4,4,1,6,8,1,3,5,4,0,2,5,6,6,4,9,2,
%T A197414 1,5,6,2,3,9,6,8,8,4,2,5,0,7,6,2,7,4,1,3,6,6,6,5,9,0,0,8,3,6,9,5,1,7,
%U A197414 3,6,7,6,8,5,6,4,8,0,8,0,4,2,1,5,2,5,6,5,4,8,8,3,3,9,5,2,7,0,8
%N A197414 Decimal expansion of least x > 0 having sin(Pi*x/6) = sin(2*x)^2.
%C A197414 The Mathematica program includes a graph. See A197133 for a guide to least x > 0 satisfying sin(b*x) = sin(c*x)^2 for selected b and c.
%e A197414 x=0.13396766228172714441681354025664...
%t A197414 b = Pi/6; c = 2; f[x_] := Sin[x]
%t A197414 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 0.1, 0.4}, WorkingPrecision -> 200]
%t A197414 RealDigits[t] (* A197414 *)
%t A197414 Plot[{f[b*x], f[c*x]^2}, {x, 0, 1.3}]
%Y A197414 Cf. A197133.
%K A197414 nonn,cons
%O A197414 0,2
%A A197414 _Clark Kimberling_, Oct 14 2011